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Finding the Fourth Proportional to 514,264.83, 768,269.92 and 332,872.62

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Solution

The fourth proportional to 514,264.83, 768,269.92 and 332,872.62 is: 497,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,264.83 : 768,269.92 = 332,872.62 : x
  2. Step 2: Convert to fraction form
    514,264.83/768,269.92 = 332,872.62/x
  3. Step 3: Cross multiply
    514,264.83x = 768,269.92 × 332,872.62
  4. Step 4: Simplify right side
    514,264.83x = 255,736,021,553.68
  5. Step 5: Solve for x
    x = 255,736,021,553.68/514,264.83
  6. Step 6: Final answer
    x = 497,284.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.